Curious Extensions of Ramanujan ’ s

نویسندگان

  • Victor J.W. Guo
  • Michael J. Schlosser
  • MICHAEL J. SCHLOSSER
  • VICTOR J. W. GUO
چکیده

We deduce new q-series identities by applying inverse relations to certain identities for basic hypergeometric series. The identities obtained themselves do not belong to the hierarchy of basic hypergeomet-ric series. We extend two of our identities, by analytic continuation, to bilateral summation formulae which contain Ramanujan's 1 ψ 1 summation and a very-well-poised 4 ψ 6 summation as special cases.

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تاریخ انتشار 2006